Question

2. Three sides of a triangle ABC are given below. State whether the triangle is a right-angled triangle.
If so, find the right angle.
(a) AB = 6 cm, AC = 8 cm and BC = 10 cm​

Answer 1

Answer:

The triangle is right angled triangle.

Step-by-step explanation:

Given lengths :-

• AB = 6cm
• AC = 8cm
• BC = 10cm

We know that in right angled triangle ,

• Hypotenuse is the largest side

So , 10cm is the hypotenuse.

According to pythagoras theorem ,

• Hypotenuse^2 = Base^2 + Perpendicular^2

Now ,

LHS | RHS

10^2 | 6^2 + 8^2

100 | 36 + 64

100 | 100

100 = 100

LHS = RHS

Here, Hypotenuse^2 = Base^2 + Perpendicular^2

Hence, it satisfies the given Formula. So , this triangle is Right angled triangle.

Hope it helps you!!!!